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An employment information service claims the mean annual pay for full-time male workers over age 25 without a high school diploma is $22,275. The annual pay for a random sample of 10 full-time male workers over age 25 without a high school diploma is listed. At a = 0.05, test the claim that the mean salary is $22,275. Assume the population is normally distributed. 20,654 21,140 22,358 21,392 22,975 16,910 19,156 23,190 24,189 26,287

An employment information service claims the mean annual pay for full-time male workers over age 25 without a high school diploma is $22,275. The annual pay for a random sample of 10 full-time male workers over age 25 without a high school diploma is listed. At a = 0.05, test the claim that the mean salary is $22,275. Assume the population is normally distributed. 20,654 21,140 22,358 21,392 22,975 16,910 19,156 23,190 24,189 26,287

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Show graph representing this problem Find the standardized test statistic Decide whether to reject or fail to reject the null hypothesis and why. Interpret the decision in the context of the original claim.
An employment information service claims the mean annual pay for full-time male workers over age 25 without a high school diploma is $22,275. The annual pay for a random sample of 10 full-time male workers over age 25 without a high school diploma is listed. At a = 0.05, test the claim that the mean salary is $22,275. Assume the population is normally distributed. 20,654 21,140 22,358 21,392 22,975 16,910 19,156 23,190 24,189 26,287 (a) Write the claim mathematically and identify Ho and Ha- Which of the following correctly states Ho and H? OC. Ho: H= 22,275 Hiµ<22,275 O A. Ho: H2 22,275 O B. Ho: H= 22,275 Ha: H<22,275 Hgi H#22,275 O D. Ho: H= 22,275 Ha:H> 22,275 O E. Ho: H#22,275 Ha:=22,275 OF. Ho: u> 22,275 Ha: us22,275 (b) Find the critical value(s) and identify the rejection region(s). What is(are) the critical value(s), tn? to-D (Use a comma to separate answers as needed. Round to three decimal places as needed.)
Transcribed Image Text:An employment information service claims the mean annual pay for full-time male workers over age 25 without a high school diploma is $22,275. The annual pay for a random sample of 10 full-time male workers over age 25 without a high school diploma is listed. At a = 0.05, test the claim that the mean salary is $22,275. Assume the population is normally distributed. 20,654 21,140 22,358 21,392 22,975 16,910 19,156 23,190 24,189 26,287 (a) Write the claim mathematically and identify Ho and Ha- Which of the following correctly states Ho and H? OC. Ho: H= 22,275 Hiµ<22,275 O A. Ho: H2 22,275 O B. Ho: H= 22,275 Ha: H<22,275 Hgi H#22,275 O D. Ho: H= 22,275 Ha:H> 22,275 O E. Ho: H#22,275 Ha:=22,275 OF. Ho: u> 22,275 Ha: us22,275 (b) Find the critical value(s) and identify the rejection region(s). What is(are) the critical value(s), tn? to-D (Use a comma to separate answers as needed. Round to three decimal places as needed.)
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